What is the Greatest Common Factor of 78189 and 78207?

Greatest common factor (GCF) of 78189 and 78207 is 3.

GCF(78189,78207) = 3

We will now calculate the prime factors of 78189 and 78207, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78189 and 78207.

How to find the GCF of 78189 and 78207?

We will first find the prime factorization of 78189 and 78207. After we will calculate the factors of 78189 and 78207 and find the biggest common factor number .

Step-1: Prime Factorization of 78189

Prime factors of 78189 are 3, 67, 389. Prime factorization of 78189 in exponential form is:

78189 = 3¹ × 67¹ × 389¹

Step-2: Prime Factorization of 78207

Prime factors of 78207 are 3, 131, 199. Prime factorization of 78207 in exponential form is:

78207 = 3¹ × 131¹ × 199¹

Step-3: Factors of 78189

List of positive integer factors of 78189 that divides 78189 without a remainder.

1, 3, 67, 201, 389, 1167, 26063

Step-4: Factors of 78207

List of positive integer factors of 78207 that divides 78189 without a remainder.

1, 3, 131, 199, 393, 597, 26069

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78189 and 78207. The biggest common factor number is the GCF number.
So the greatest common factor 78189 and 78207 is 3.

Also check out the Least Common Multiple of 78189 and 78207